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Simplifying 12x + 1 = 6x + 13 Reorder the terms: 1 + 12x = 6x + 13 Reorder the terms: 1 + 12x = 13 + 6x Solving 1 + 12x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 1 + 12x + -6x = 13 + 6x + -6x Combine like terms: 12x + -6x = 6x 1 + 6x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + 6x = 13 + 0 1 + 6x = 13 Add '-1' to each side of the equation. 1 + -1 + 6x = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 13 + -1 6x = 13 + -1 Combine like terms: 13 + -1 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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